Monday, 23 November 2015

area and perimeter of rectangles

this task could be initiated by asking students to draw several rectangles on squared (or dotty) paper
they find the perimeter ('P' number) and area number ('A' number) (using the size of square provided as a unit)

then invite one of them out to let the class know the P and A numbers for one of their rectangles
the class try to work out the dimensions
etc.

discussions might focus on the two sizes of rectangles (including squares) for which P = A
and then for which A = 2P

finding examples that fit various relationships

linking P with A for various widths

continuing a pattern

providing reasons why rules work from a diagram

reasons can become difficult...

maybe focus attention on:
the four corners
the (non-corner) left and right edges
the lengths

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about me

my interest is in effective tasks for teaching mathematics to 10 to 18 year students
I have collected and trialled many people's ideas for tasks for many years and have played at making these work
my thanks to these people